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Finding the Third Proportional to 652,473 and 998,208

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Solution

The third proportional to 652,473 and 998,208 is: 1,527,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,473 : 998,208 = 998,208 : x
  2. Step 2: Convert to fraction form
    652,473/998,208 = 998,208/x
  3. Step 3: Cross multiply
    652,473x = 998,208 × 998,208
  4. Step 4: Simplify right side
    652,473x = 996,419,211,264
  5. Step 5: Solve for x
    x = 996,419,211,264/652,473
  6. Step 6: Final answer
    x = 1,527,142.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.